What is the LCM of 40 and 15?
2 answers:
You might be interested in
Answer:
The population growth is 6.26 per square mile per year
Step-by-step explanation:
We are given
he US Census found at the population per square mile in the state rose from 128.7 to 191.3 during the last 10 years
So,
Initial population =128.7
Final Population =191.3
Total time =10 years
now, we can find population grow per year
now, we can plug values
So,
The population growth is 6.26 per square mile per year
Answer:
C
Step-by-step explanation:
To make it easy let's start by organizing our information :
- AC=12 AND BD=8
- ABCD is a rhombus
- K and L are the midpoints of sides AD and CD
- we notice that the rhombus ABCD is divided into four right triangles
What do you think of when you hear a right triangle ?
- The pythagorian theorem !
AC and BD are khown so let's focus on them .
If we concentrated we can notice that AB and BD are cossing each other in the midpoints . why ?
Simply because they are the diagonals of a rhombus .
ow let's apply the pythagorian theorem :
- (AC/2)² + (BD/2)² = BC²
- 6²+4²=52
- BC²= 52⇒
=BC
Now we khow that : AB=BC=CD=AD=
This isn't enough . Let's try to figure out a way to calculate the length of KL wich is the base of the triangle
- KL is parallel to AC
- k is the midpoint of AD and L of DC
I smell something . yes! Thales theorem
- KL/AC=DL/DC=DK/AD WE4LL TAKE OLY ONE
- KL/12=
- KL/12=1/2⇒ KL=6
Now we have the length of the base kl
Now the big boss the height :
- notice that you khow the length of KL
- BD crosses kl from its midpoint and DL =
What I want to do is to apply the pythgorian thaorem to khow the lenght of that small part that is not a part of the height of the triangle . I will call it D
- DL²=(KL/2)²+D²
- 52/4= 9+ D²
- D² = 52/4-9 +4 SO D=2
now the height of the trigle is H= BD-D= 8-2=6
NOw the area of the triangle is :
- A=(KL*H)/2 ⇒ A= (6*6)/2=18
THE ANSWER IS 18 SQ.UN
Answer:
83.79 cm²
Step-by-step explanation:
(please refer to attached)
recall that the volume of a cone is given by
V = (1/3) π r² h
where
r = radius = given as 4 cm
h = height = given as 5 cm
assume π = 3.142
substituting the values into the formula:
V = (1/3) π r² h
V = (1/3) (3.14) (4)² (5)
V = 83.79 cm²
